Question 260394
no. of each coin represented by: n, d, q, h
:
Write an equation for each statement
:
A storekeeper goes to the bank to get $10 worth of change.
.05n + .10d + .25q + .50h = 10.00
:
We are going to get everything in terms of d.
:
She requests twice as many quarters as half dollars,
q = 2h
:
twice as many dimes as quarters,
d = 2q
or
q = .5d
:
three times as many nickels as dimes,
n = 3d
:
In the equation q = 2h, replace q with .5d from the equation q =.5d
.5d = 2h 
d = 4h
or
h = .25d
:
.05n + .10d + .25q + .50h = 10.00
Substitute
.05(3d) + .10d + .25(.5d) + .50(.25d) = 10.00
:
.15d + .10d + .125d + .125d = 10.00
.5d = 10
d = 10/.5
d = 20 dimes
and
q = .5d
q = .5(20)
q = 10 quarters
and
n = 3d
n = 3(20)
n = 60 nickels
and
h = .25d
h = .25(20)
h = 5 halfs
:
See if that works
.05(60) + .10(20) + .25(10) + .5(5) =
3.00 + 2.00 + 2.50 + 2.50 = 10.00
:
Summarize: 60 nickels, 20 dimes, 10 quarters, 5 half$